Influence of forming parameters on the crash performance of capped cylindrical tubes using LS-DYNA follow-on simulations

  • A. Praveen KumarEmail author
  • S. Shrivaathsav
Technical Paper


In the automobile industry, accurate prediction of crashworthiness indicators is important in designing energy absorbing tubes for the protection of occupants. However, the deformation behavior of these tubes was found to be affected by the prior manufacturing (forming) process. Hence, it is necessary to incorporate these forming effects in the crash simulation model to improve the accuracy of the simulation results. Therefore the interactive computational approach was used in this research article to account for the forming and crash response of the proposed capped cylindrical tubes. In this procedure, the design of forming tools based on the computer-aided automated computing system is performed first and the results are considered in the multi-stage deep drawing process. Then, the influences of forming parameters of a multi-stage deep drawing process on the axial crushing response of thin-walled capped cylindrical tubes were numerically examined using LS-DYNA follow-on simulations. The residual forming history such as effective plastic strain, thickness variation, and residual stress was mapped to crash simulation models in order to understand the interaction between the forming process and subsequent crash performance of the proposed tubular structures. The capped cylindrical tubes of shell element with a constant thickness of 1.63 mm were also simulated for comparison purpose. The finite element crash model included with forming simulation results caused an increase in the initial peak crushing force by 15–30% over constant thickness tubes. In order to validate the numerical simulation results, experiments were performed. The application of a constitutive crash simulation model considering these forming parameters when studying the axial crushing characteristics of the tubular structures that have experienced earlier forming processes is strongly recommended.


Crashworthiness Forming simulation Ls-Dyna Multi-stage deep drawing Thin-walled tubes 



  1. 1.
    National Highway Traffic Safety Administration: 2015 motor vehicle crashes: overview. Traffic safety facts research note, pp. 1–9 (2016)Google Scholar
  2. 2.
    Praveen Kumar, A.: Quasi-static crushing behaviour of axially compressed combined aluminium-composite tubes. Int. J. Mech. Eng. Technol. 9(8), 907–914 (2018)Google Scholar
  3. 3.
    Praveen Kumar, A., Shunmugasundaram, M.: An axial crushing characteristics of hybrid kenaf/glass fabric wrapped aluminium capped tubes under static loading. Int. J. Mech. Prod. Eng. Res. Dev. 8(6), 201–206 (2018)Google Scholar
  4. 4.
    Kleiner, M., Geiger, M., Klaus, A.: Manufacturing of lightweight components by metal forming. CIRP Ann. Manuf. Technol. 52(2), 521–542 (2003)CrossRefGoogle Scholar
  5. 5.
    Alves, L.M., Dias, E.J., Martins, P.A.: Joining sheet panels to thin-walled tubular profiles by tube end forming. J. Clean. Prod. 19(6–7), 712–719 (2011)CrossRefGoogle Scholar
  6. 6.
    Xu, F., Wang, C.: Dynamic axial crashing of tailor-welded blanks (TWBs) thin-walled structures with top-hat shaped section. Adv. Eng. Softw. 96, 70–82 (2016)CrossRefGoogle Scholar
  7. 7.
    Eyvazian, A., Najafian, S., Mozafari, H., Praveen Kumar, A.: Crashworthiness analysis of a novel aluminum bi-tubular corrugated tube—experimental study. In: Vijay Sekar, K., Gupta, M., Arockiarajan, A. (eds.) Advances in Manufacturing Processes. Lecture Notes in Mechanical Engineering. Springer, Singapore (2019). Google Scholar
  8. 8.
    Ghamarian, A., Zarei, H.R., Abadi, M.T.: Experimental and numerical crashworthiness investigation of empty and foam-filled end-capped conical tubes. Thin-Walled Struct. 49(10), 1312–1319 (2011)CrossRefGoogle Scholar
  9. 9.
    Ghamarian, A., Abadi, M.T.: Axial crushing analysis of end-capped circular tubes. Thin-Walled Struct. 49(6), 743–752 (2011)CrossRefGoogle Scholar
  10. 10.
    Oliveira, D.A., Worswick, M.J., Grantab, R., Williams, B.W., Mayer, R.: Effect of forming process variables on the crashworthiness of aluminum alloy tubes. Int. J. Impact Eng. 32(5), 826–846 (2006)CrossRefGoogle Scholar
  11. 11.
    Kirby, D., Roy, S., Kunju, R.: Optimization of tube hydroforming with consideration of manufacturing effects on structural performance. In AIP Conference Proceedings, vol. 778, no. 1, pp. 585–590 (2005)Google Scholar
  12. 12.
    Papadakis, L., Schober, A., Zaeh, M.F.: Considering manufacturing effects in automotive structural crashworthiness: a simulation chaining approach. Int. J. Crashworthiness 18(3), 276–287 (2013)CrossRefGoogle Scholar
  13. 13.
    Gupta, N.K., Sheriff, N.M., Velmurugan, R.: Analysis of collapse behaviour of combined geometry metallic shells under axial impact. Int. J. Impact Eng. 35(8), 731–741 (2008)CrossRefGoogle Scholar
  14. 14.
    Gupta, N.K.: Experimental and numerical studies of dynamic axial compression of thin walled spherical shells. Int. J. Impact Eng. 30(8–9), 1225–1240 (2004)CrossRefGoogle Scholar
  15. 15.
    Zarei, H.R., Ghamarian, A.: Experimental and numerical crashworthiness investigation of empty and foam-filled thin-walled tubes with shallow spherical caps. Exp. Mech. 54(2), 115–126 (2014)CrossRefGoogle Scholar
  16. 16.
    Huh, H., Kim, K.P., Kim, S.H., Song, J.H., Kim, H.S., Hong, S.K.: Crashworthiness assessment of front side members in an auto-body considering the fabrication histories. Int. J. Mech. Sci. 45(10), 1645–1660 (2003)CrossRefGoogle Scholar
  17. 17.
    Ryou, H., Chung, K., Yoon, J.W., Han, C.S., Youn, J.R., Kang, T.J.: Incorporation of sheet-forming effects in crash simulations using ideal forming theory and hybrid membrane and shell method. J. Manuf. Sci. Eng. 127(1), 182–192 (2005)CrossRefGoogle Scholar
  18. 18.
    Wang, W., Sun, X., Wei, X.: Integration of the forming effects into vehicle front rail crash simulation. Int. J. Crashworthiness 21(1), 9–21 (2016)CrossRefGoogle Scholar
  19. 19.
    Cafolla, J., Hall, R.W., Norman, D.P., McGregor, I.J., Automotive, C., East, S.P.: Forming to crash simulation in full vehicle models. In: Proceedings 4th European LS-DYNA users conference DYNAmore GmbH, pp. E-11-17–E-11-26 (2003)Google Scholar
  20. 20.
    Lee, M.G., Han, C.S., Chung, K., Youn, J.R., Kang, T.J.: Influence of back stresses in parts forming on crashworthiness. J. Mater. Process. Technol. 168, 49–55 (2005)CrossRefGoogle Scholar
  21. 21.
    Dutton, T., Iregbu, S., Sturt, R., Kellicut, A., Cowell, B., Kavikondala, K.: The effect of forming on the crashworthiness of vehicles with hydro formed frame side rails. In: Proceedings of SAE 1999, Paper no. 1999-01-3208 (1999)Google Scholar
  22. 22.
    Gumruk, R., Karadeniz, S.: The influences of the residual forming data on the quasi-static axial crash response of a top-hat section. Int. J. Mech. Sci. 51(5), 350–362 (2009)CrossRefGoogle Scholar
  23. 23.
    Durrenberger, L., Lemoine, X., Molinari, A.: Effects of pre-strain and bake-hardening on the crash properties of a top-hat section. J. Mater. Process. Technol. 211(12), 1937–1947 (2011)CrossRefGoogle Scholar
  24. 24.
    Yuan, S.J., Han, C., Wang, X.S.: Hydroforming of automotive structural components with rectangular-sections. Int. J. Mach. Tools Manuf. 46(11), 1201–1206 (2006)CrossRefGoogle Scholar
  25. 25.
    Praveen Kumar, A., Nalla Mohamed, M.: A novel automated design calculating system for axisymmetric thin walled structures by deep drawing process. J. Adv. Eng. Res. 3, 128–133 (2016)Google Scholar
  26. 26.
    Praveen Kumar, A., Mohamed, M.N., Jusuf, A., Dirgantara, T., Gunawan, L.: Axial crash performance of press-formed open and end-capped cylindrical tubes—a comparative analysis. Thin-Walled Struct. 124, 468–488 (2018)CrossRefGoogle Scholar
  27. 27.
    Barlat, F., Lian, K.: Plastic behavior and stretchability of sheet metals. Part I: a yield function for orthotropic sheets under plane stress conditions. Int. J. Plasticity 5(1), 51–66 (1989)CrossRefGoogle Scholar
  28. 28.
    Bathe, K.J., Bouzinov, P.A.: On the constraint function method for contact problems. Comput. Struct. 64(5–6), 1069–1085 (1997)CrossRefzbMATHGoogle Scholar
  29. 29.
    Hallquist, J.O.: LS-DYNA theory manual. Livermore Softw. Technol. Corp. 3, 25–31 (2006)Google Scholar
  30. 30.
    Tasdemirci, A., Sahin, S., Kara, A., Turan, K.: Crushing and energy absorption characteristics of combined geometry shells at quasi-static and dynamic strain rates: experimental and numerical study. Thin-Walled Struct. 86, 83–93 (2015)CrossRefGoogle Scholar
  31. 31.
    Praveen Kumar, A., Jusuf, A., Santosa, S.P., Dirgantara, T.: Investigations on the influence of spherical caps in the axial impact characteristics of press-formed cylindrical tubular structures. Adv. Struct. Eng. 1, 1–14 (2019). Google Scholar
  32. 32.
    Tasdemirci, A., Kara, A., Turan, K., Sahin, S.: Dynamic crushing and energy absorption of sandwich structures with combined geometry shell cores. Thin-Walled Struct. 91, 116–128 (2015)CrossRefGoogle Scholar
  33. 33.
    Gunawan, L., Dirgantara, T., Putra, I.S.: Development of a dropped weight impact testing machine. Int. J. Eng. Technol. IJET-IJENS 11(06), 98–104 (2011)Google Scholar
  34. 34.
    Jusuf, A., Dirgantara, T., Gunawan, L., Putra, I.S.: Crashworthiness analysis of multi-cell prismatic structures. Int. J. Impact Eng 78, 34–50 (2015)CrossRefGoogle Scholar
  35. 35.
    Kim, S.B., Huh, H., Bok, H.H., Moon, M.B.: Forming limit diagram of auto-body steel sheets for high-speed sheet metal forming. J. Mater. Process. Technol. 211(5), 851–862 (2011)CrossRefGoogle Scholar
  36. 36.
    Kleemola, H.J., Kumpulainen, J.O.: Factors influencing the forming limit diagram: part I—the experimental determination of the forming limits of sheet steel. J. Mech. Work. Technol. 3(3–4), 289–302 (1980)CrossRefGoogle Scholar
  37. 37.
    Tasdemirci, A., Kara, A., Turan, K., Sahin, S., Guden, M.: Effect of heat treatment on the blast loading response of combined geometry shell core sandwich structures. Thin-Walled Struct. 100, 180–191 (2016)CrossRefGoogle Scholar
  38. 38.
    Li, Z., Zheng, Z., Yu, J., Guo, L.: Crashworthiness of foam-filled thin-walled circular tubes under dynamic bending. Mater. Des. 52, 1058–1064 (2013)CrossRefGoogle Scholar
  39. 39.
    Sonis, P., Reddy, N.V., Lal, G.K.: On multistage deep drawing of axisymmetric components. J. Manuf. Sci. Eng. 125(2), 352–362 (2003)CrossRefGoogle Scholar

Copyright information

© Springer-Verlag France SAS, part of Springer Nature 2019

Authors and Affiliations

  1. 1.Department of Mechanical EngineeringCMR Technical CampusHyderabadIndia
  2. 2.Department of Mechanical EngineeringSSN College of EngineeringChennaiIndia

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